Find a, b, c, and d such
that the cubic function f(x) =
ax3 + bx2
+ cx + d satisfies the given
conditions.
Relative maximum: (3, 12)
Relative minimum: (5, 10)
Inflection point: (4, 11)
a=
b=
c=
d=
Find a, b, c, and d such that the cubic function
f(x) = ax3 + bx2 + cx + d
satisfies the given conditions.
Relative maximum: (3, 9)
Relative minimum: (5, 7)
Inflection point: (4, 8)
a =
b =
c =
d =
Find a polynomial of the form f(x) = ax3 + bx2 + cx + d such
that f(0) = −3, f(1) = 2, f(3) = 5, and f(4) = 0. (A graphing
calculator is recommended.)
answer in fraction form.
Find a cubic function y = ax3 + bx2 + cx + d whose graph has
horizontal tangents at the points (−2, 8) and (2, 2).
Find an equation of the normal line to the parabola y =
x2 − 8x + 7 that is parallel to the line x −
2y = 2.
roblem 3 Find the solutions to the general cubic a x^3 +b x^2+c
x +d=0 and the solutions to the general quartic a x^4+b x^3+c x^2+d
x+e=0. Remember to put a space between your letters. The solutions
to the general quartic goes on for two pages it is a good idea to
maximize your page to see it. It is a theorem in modern abstract
algebra that there is no solution to the general quintic in terms
of radicals.
Please...
Problem 3 Find the solutions to the general cubic a x^3 +b x^2+c
x +d=0 and the solutions to the general quartic a x^4+b x^3+c x^2+d
x+e=0. Remember to put a space between your letters. The solutions
to the general quartic goes on for two pages it is a good idea to
maximize your page to see it. It is a theorem in modern abstract
algebra that there is no solution to the general quintic in terms
of radicals.
Suppose it is known that the graph of the function y = ax3 + bx2 + cx + d passes through four given points (xi, yi ), i = 1, 2, 3, 4. Write a userdefined function that accepts these four points as input and computes the coefficients a, b, c, and d. The function should solve four linear equations in terms of the four unknowns a, b, c, and d. Test your function for the case where (xi ,...
Let ∬[a,b]×[c,d]f(x,y)dA denote the integral of f(x,y)over the
region with a≤x≤b and c≤y≤d. Find ∬[0,1]×[0,1]f(x,y)dA given the
following: ∬[0,1]×[1,5]f(x,y)dA=2, ∬[1,2]×[0,1]f(x,y)dA=−1,
∬[1,2]×[1,5]f(x,y)dA=4, and ∬[0,2]×[0,5]f(x,y)dA=3.
Group of answer choices
2
-2
8
0
None of the above.
The curves of the quadratic and cubic functions are f(x)=2x-x^2
and g(x)= ax^3 +bx^2+cx+d. where a,b,c,d ER, intersect at 2 points
P and Q. These points are also two points of tangency for the two
tangent lines drawn from point A(2,9) upon the parobala. The graph
of the cubic function has a y-intercept at (0,-1) and an x
intercept at (-4,0). What is the standard equation of the tangent
line AP.